It would be -15 as the answer
(f∘g)(x) is equivalent to f(g(x)). We solve this problem just as we solve f(x). But since it asks us to find out f(g(x)), in f(x), each time we encounter x, we replace it with g(x).
In the above problem, f(x)=x+3.
Therefore, f(g(x))=g(x)+3.
⇒(f∘g)(x)=2x−7+3
⇒(f∘g)(x)=2x−4
Basically, write the g(x) equation where you see the x in the f(x) equation.
f∘g(x)=(g(x))+3 Replace g(x) with the equation
f∘g(x)=(2x−7)+3
f∘g(x)=2x−7+3 we just took away the parentheses
f∘g(x)=2x−4 Because the −7+3=4
This is it
g∘f(x) would be the other way around
g∘f(x)=2(x+3)−7
now you have to multiply what is inside parentheses by 2 because thats whats directly in front of them.
g∘f(x)=2x+6−7
Next, +6−7=−1
g∘f(x)=2x−1
Its a lts easier than you think!
Hope this helped
Answer:
<u>A) 19.66 people/km²</u>
Step-by-step explanation:
<u>Given</u>
- Area of the continent = 1.78 x 10⁷ km²
- Population = 3.5 x 10⁸ people
<u>To Find</u>
<u>Solving</u>
- population density is the number of people per unit area
- pd = people / area
- pd = 3.5 x 10⁸ / 1.78 x 10⁷
- pd = 1.966 x 10
- pd = <u>19.66 people/km²</u>
The answer is D (- 4x^2 - 3x - 5)
Explanation:
- 4f(x) - 3g(x)
= - 4(x^2 + 5) - 3(x - 5)
= - 4x^2 - 20 - 3x + 15
= - 4x^2 - 3x - 5
There is a 50/50 chance she does or doesnt take a red marble out the back so its most likely 40 times because of how there are other 2 colors and she is putting back the marbles in the bag
